Team:PKU Beijing/Modeling/ODE

Catagories of Equations

Writing the ODEs is the first step of constructing the deterministic model. For practice, we first catagorized all the reactions appeared in our design into four types - Transcription, Translation, Degradation and AND Gate Model. In this section, we will demonstrate equations for each type, which will let you be more familiar with our model.

• Transcription

The equation used to describe the transcription process is Hill's equations, which is well-known in biomodeling. Here's the general formula.

<math>\frac{\mathrm{d}[mRNA]}{\mathrm{d}t}=k(\frac{(\frac{[A]}{K})^n}{1+(\frac{[A]}{K})^n})</math>

[mRNA] is the product of transcription, i.e. mRNA of the protein. d[mRNA]/dt

AND Gate 1

Bistable

AND Gate 2

Output

Full Model

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